A generalization of Dugas’ construction on stable auto-equivalences for symmetric algebras
科研大讨论系列报告
报告题目(Title)： A generalization of Dugas’ construction on stable auto-equivalences for symmetric algebras
报告人(Speaker)： 刘玉明 （北京师范大学）
地点(Place)：后主楼1223
时间(Time)：2023年12月28日 16:00-16:50
邀请人(Inviter)： 肖杰
报告摘要
In 2015, Dugas gave two methods to construct nontrivial auto-equivalences of stable module categories for elementary, local symmetric algebras over a field $k$. These auto-equivalences are modeled after the spherical twists of Seidel and Thomas and the $P_n$-twists of Huybrechts and Thomas, which yield auto-equivalences of the derived category of coherent sheaves on a variety. We give a unified generalization of Dugas’ construction for arbitrary symmetric algebras. This is a joint work with Nengqun Li.
